1390725407232 has 1440 divisors, whose sum is σ = 5218910611200. Its totient is φ = 368709304320.

The previous prime is 1390725407231. The next prime is 1390725407237. The reversal of 1390725407232 is 2327045270931.

1390725407232 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 7 + 2 + 5 + 407 + 232 = 666.

It is a super-2 number, since 2×1390725407232² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390725407231) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19587681757 + ... + 19587681827.

It is an arithmetic number, because the mean of its divisors is an integer number (3624243480).

Almost surely, 2^{1390725407232} is an apocalyptic number.

1390725407232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1390725407232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609455305600).

1390725407232 is an abundant number, since it is smaller than the sum of its proper divisors (3828185203968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1390725407232 is an frugal number, since it uses more digits than its factorization.

1390725407232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 1390725407232 in words is "one trillion, three hundred ninety billion, seven hundred twenty-five million, four hundred seven thousand, two hundred thirty-two".